Solve a·trig(bx + c) = d for x in [0°, 360°) with reference-angle steps.
Answer
Steps
Why it works
Isolate the trig function, then use the reference angle plus quadrant signs: sine is positive in QI/QII, cosine in QI/QIV, tangent in QI/QIII. Each base solution spawns a family spaced by the period (360° for sin/cos, 180° for tan); keep the x values that land in [0°, 360°).